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Simplifying 6x + -2y = 3x + 4y Solving 6x + -2y = 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x + -2y = 3x + -3x + 4y Combine like terms: 6x + -3x = 3x 3x + -2y = 3x + -3x + 4y Combine like terms: 3x + -3x = 0 3x + -2y = 0 + 4y 3x + -2y = 4y Add '2y' to each side of the equation. 3x + -2y + 2y = 4y + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 4y + 2y 3x = 4y + 2y Combine like terms: 4y + 2y = 6y 3x = 6y Divide each side by '3'. x = 2y Simplifying x = 2y
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